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Finding the Third Proportional to 80,931 and 165,072

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Solution

The third proportional to 80,931 and 165,072 is: 336,691.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,931 : 165,072 = 165,072 : x
  2. Step 2: Convert to fraction form
    80,931/165,072 = 165,072/x
  3. Step 3: Cross multiply
    80,931x = 165,072 × 165,072
  4. Step 4: Simplify right side
    80,931x = 27,248,765,184
  5. Step 5: Solve for x
    x = 27,248,765,184/80,931
  6. Step 6: Final answer
    x = 336,691.32

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.